29138090790312 has 144 divisors (see below), whose sum is σ = 91802978467200. Its totient is φ = 8324885298240.

The previous prime is 29138090790311. The next prime is 29138090790349. The reversal of 29138090790312 is 21309709083192.

29138090790312 is a `hidden beast` number, since 2 + 91 + 380 + 90 + 7 + 90 + 3 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (29138090790311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117397239 + ... + 117645177.

It is an arithmetic number, because the mean of its divisors is an integer number (637520683800).

Almost surely, 2^{29138090790312} is an apocalyptic number.

It is an amenable number.

29138090790312 is an abundant number, since it is smaller than the sum of its proper divisors (62664887676888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29138090790312 is a wasteful number, since it uses less digits than its factorization.

29138090790312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281276 (or 281262 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 29138090790312 in words is "twenty-nine trillion, one hundred thirty-eight billion, ninety million, seven hundred ninety thousand, three hundred twelve".